Superroughening in the Ising chain with long-range interactions

Alexandre Faissal Brito and José Arnaldo Redinz

Physica A: Statistical Mechanics and its Applications, 2004, vol. 333, issue C, 269-277

Abstract: We present a numerical study of the self-affine profiles obtained from configurations of the Ising model in d=1 with long-range interactions decaying with distance r as J(r)∼r−(1+ζ) for the cases ζ=0.3 and 0.5. The second-order static phase transition of this model is located by sharp changes in the values of the Hurst (H) and roughness (α) exponents, characterizing those profiles. The low-temperature phase corresponds to flat (α≃H≃1) profiles, whereas the high-temperature phase is associated with rough (α≃H≃0.5) ones. In the vicinity of the critical temperature we obtained superroughening, i.e., α>1≠H.

Keywords: Roughness exponents; Ising model; Long-range interactions (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:333:y:2004:i:c:p:269-277

DOI: 10.1016/j.physa.2003.10.018

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